Unit Commitment Constraints for Node RoCoF Stability

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Solution Overview

Problem

The increasing penetration of renewable power generation and the replacement of synchronous generators have led to enhanced post-disturbance rate of change of frequency (RoCoF) in power systems, causing frequency instability and potential power system blackouts, as existing technologies fail to effectively mitigate RoCoF and account for spatial frequency differences.

Innovation Solution

An RoCoF constrained unit commitment model is developed, which considers spatial differences in frequency dynamics and enforces RoCoF constraints at each node, using analytical expressions for node initial RoCoF and incorporating the center of inertia RoCoF to limit the maximum RoCoF, allowing for economic and accurate frequency stability enhancement.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Adaptability or versatility

If renewable power generation penetrates large-scale and synchronous generators are replaced, then power system adaptability improves, but frequency stability deteriorates due to system inertia decrement and increased RoCoF

Engineering Contradiction:
Improverenewable power generation penetrationVSAvoidfrequency stability
Core Design Contradiction:
Adaptability or versatilityVSReliability

Solution Approach 1:

The patent applies preliminary action by performing unit commitment decisions in advance to optimize generator scheduling before disturbances occur. The model pre-configures generator commitments to ensure adequate inertia and frequency response capability are maintained, preventing excessive RoCoF when disturbances happen. This is evident in the UC model formulation that considers RoCoF constraints and inertia requirements in the scheduling phase.

Inventive Principle:
Principle #10Preliminary action

Solution Approach 2:

The patent applies parameter changes by modifying the unit commitment model to include RoCoF constraints and inertia-related parameters. The model changes the operational parameters of generators (commitment status, output levels) to maintain system inertia within acceptable ranges, thereby limiting RoCoF while accommodating renewable energy integration.

Inventive Principle:
Principle #35Parameter changes

2Ease of operation

If traditional unit commitment models are used without RoCoF constraints, then operational simplicity is maintained, but frequency stability control capability is insufficient

Engineering Contradiction:
Improveunit commitment model simplicityVSAvoidfrequency stability control
Core Design Contradiction:
Ease of operationVSReliability

Solution Approach 1:

The patent applies segmentation by dividing the frequency stability control into two distinct components: node initial RoCoF (determined by local generator commitments and network topology) and center of inertia RoCoF (determined by system-wide generator mix). This segmentation allows the complex RoCoF constraint to be broken down into manageable parts that can be incorporated into the UC model separately, maintaining relative operational simplicity while achieving frequency stability control.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent introduces the center of inertia (COI) frequency as an intermediary concept to bridge local node RoCoF and system-wide frequency stability. The COI RoCoF serves as a mediator that captures the overall system inertia effect, allowing the model to control frequency stability without directly modeling complex electromagnetic transient equations at each node.

Inventive Principle:
Principle #24Intermediary (Mediator)

3Measurement precision

If node-specific RoCoF constraints are enforced considering spatial differences, then frequency stability precision improves, but computational complexity increases

Engineering Contradiction:
Improvefrequency dynamics spatial resolutionVSAvoidmodel computational complexity
Core Design Contradiction:
Measurement precisionVSDevice complexity

Solution Approach 1:

The patent applies segmentation by separating node initial RoCoF calculation from system-wide COI RoCoF calculation. The node initial RoCoF is determined by local factors (generators connected to the node, local network topology), while COI RoCoF captures system-wide inertia effects. This segmentation enables precise spatial resolution of frequency dynamics without requiring full electromagnetic transient simulation across the entire system, thus managing computational complexity.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent applies local quality by enforcing RoCoF constraints at individual nodes based on their specific characteristics (local generator commitments, network topology, distance from disturbance). Each node's RoCoF is determined by local conditions rather than applying a uniform system-wide constraint, achieving precise spatial resolution while keeping the model tractable through localized analysis.

Inventive Principle:
Principle #3Local quality

Data Source

PatentUS11837872B1RoCoF constrained unit commitment considering spatial difference in frequency dynamics
Publication Date: 2023.12.05 NORTH CHINA ELECTRIC POWER UNIV
  • US11837872B1 patent drawing
  • US11837872B1 patent drawing
  • US11837872B1 patent drawing

AI summary

This disclosure provides a method to limit the post-disturbance node maximum RoCoF by optimizing UC decisions. The node initial RoCoF expressions under common disturbance types, including the load, the line switching, and the generator turbine disturbances, are derived. Then, the piecewise linear relationship between the node initial RoCoF and UC decision variables are obtained. To avoid numerical simulation of the node maximum RoCoF, two analytical constraints, i.e., the node initial RoCoF constraint and the COI maximum RoCoF constraint, are formulated in the UC model.